Evaluate (6^-1)^2

${(6^{- 1})}^{2}$

Step 1

Multiply the exponents in ${(6^{- 1})}^{2}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$6^{- 1 \cdot 2}$

Multiply $- 1$ by $2$ .

$6^{- 2}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{6^{2}}$

Step 3

Raise $6$ to the power of $2$ .

$\frac{1}{36}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{36}$

Decimal Form:

$0.02\overline{7}$